%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:46 AM UTC 2026
% Result : Theorem 0.24s 0.29s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 227 ( 4 equ; 0 cnn)
% Maximal formula atoms : 100 ( 6 avg)
% Number of connectives : 1184 ( 194 ~; 240 |; 57 &; 689 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 86 ( 8 ^; 57 !; 21 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
lAnna_THFTYPE_i: $i ).
thf(decl_26,type,
lBill_THFTYPE_i: $i ).
thf(decl_27,type,
lBob_THFTYPE_i: $i ).
thf(decl_28,type,
lMary_THFTYPE_i: $i ).
thf(decl_30,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_31,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_32,type,
n2009_THFTYPE_i: $i ).
thf(decl_33,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_34,type,
esk1_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_35,type,
esk2_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_36,type,
esk3_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_37,type,
esk4_3: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $i ).
thf(decl_38,type,
esk5_0: $i ).
thf(decl_39,type,
esk6_0: $i ).
thf(decl_40,type,
esk7_0: $i ).
thf(decl_41,type,
esk8_0: $i ).
thf(con,conjecture,
? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X4 @ X2 @ lBill_THFTYPE_i )
& ( X3 @ X2 @ lAnna_THFTYPE_i )
& ( X4
!= ( ^ [X5: $i,X6: $i] : $true ) )
& ( X3
!= ( ^ [X5: $i,X6: $i] : $true ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',con) ).
thf(ax_004,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',ax_004) ).
thf(ax_005,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',ax_005) ).
thf(ax_006,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',ax_006) ).
thf(ax,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',ax) ).
thf(ax_001,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p',ax_001) ).
thf(c_0_6,negated_conjecture,
~ ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X4 @ X2 @ lBill_THFTYPE_i )
& ( X3 @ X2 @ lAnna_THFTYPE_i )
& ( X4
!= ( ^ [X5: $i,X6: $i] : $true ) )
& ( X3
!= ( ^ [X5: $i,X6: $i] : $true ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_004]) ).
thf(c_0_8,plain,
( ( ~ ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ? [X1: $i,X2: $i] :
~ ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_005])]) ).
thf(c_0_9,negated_conjecture,
~ ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
( ( ~ ( ( X4 @ X2 @ lBill_THFTYPE_i )
& ( X3 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X10: $i,X11: $i] :
( ( X4 @ X10 @ X11 )
<=> $true )
& ~ ! [X12: $i,X13: $i] :
( ( X3 @ X12 @ X13 )
<=> $true ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X4 @ X2 @ lBill_THFTYPE_i )
& ( X3 @ X2 @ lAnna_THFTYPE_i )
& ~ ! [X10: $i,X11: $i] :
( ( X4 @ X10 @ X11 )
<=> $true )
& ~ ! [X12: $i,X13: $i] :
( ( X3 @ X12 @ X13 )
<=> $true ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])]) ).
thf(c_0_10,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X33: $i,X34: $i] :
( ( ( likes_THFTYPE_IiioI @ X33 @ X34 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ esk7_0 @ esk8_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
thf(c_0_12,negated_conjecture,
! [X14: $i > $i > $o,X15: $i > $i > $o,X16: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] :
( ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ X16 @ lBill_THFTYPE_i ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ X16 @ lBill_THFTYPE_i ) )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ X16 @ lBill_THFTYPE_i ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ X16 @ lBill_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X15 @ X16 @ lBill_THFTYPE_i ) )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ X16 @ lAnna_THFTYPE_i ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ X16 @ lAnna_THFTYPE_i ) )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ X16 @ lAnna_THFTYPE_i ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ X16 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X14 @ X16 @ lAnna_THFTYPE_i ) )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X15 @ ( esk1_3 @ X14 @ X15 @ X16 ) @ ( esk2_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| ~ $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X14 @ ( esk3_3 @ X14 @ X15 @ X16 ) @ ( esk4_3 @ X14 @ X15 @ X16 ) )
| $true )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ ( X15 @ X21 @ X22 )
| $true
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( X14 @ X25 @ X26 )
| $true
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ $true
| ( X14 @ X27 @ X28 )
| ~ $true
| ( X15 @ X23 @ X24 )
| ~ ( X15 @ X16 @ lBill_THFTYPE_i )
| ~ ( X14 @ X16 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
thf(c_0_13,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_006]) ).
thf(c_0_14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X1: $i,X2: $i] :
( ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i > $i > $o,X3: $i > $i > $o,X6: $i,X9: $i] :
( ( X3 @ X1 @ X2 )
| ( X4 @ X5 @ X6 )
| ~ $true
| ~ $true
| ~ ( X4 @ X9 @ lBill_THFTYPE_i )
| ~ ( X3 @ X9 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,axiom,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i > $i > $o,X3: $i > $i > $o,X6: $i,X9: $i] :
( ( X4 @ X5 @ X6 )
| ( X3 @ X1 @ X2 )
| ~ ( X4 @ X9 @ lBill_THFTYPE_i )
| ~ ( X3 @ X9 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(cn,[status(thm)],[c_0_16]) ).
thf(c_0_22,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
thf(c_0_24,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X4: $i > $i > $o,X3: $i > $i > $o,X6: $i,X9: $i] :
( ( X3 @ X1 @ X2 )
| ( X4 @ X5 @ X6 )
| ~ ( X4 @ X9 @ lBill_THFTYPE_i )
| ~ ( X3 @ X9 @ lAnna_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_19])]) ).
thf(c_0_26,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_27,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_28,plain,
( ( ~ ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ? [X1: $i,X2: $i] :
~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_001])]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i,X2: $i,X6: $i,X5: $i,X3: $i > $i > $o] :
( ( likes_THFTYPE_IiioI @ X1 @ X2 )
| ( X3 @ X5 @ X6 )
| ~ ( X3 @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(sr,[status(thm)],[c_0_27,c_0_23]) ).
thf(c_0_31,plain,
! [X29: $i,X30: $i] :
( ( ( parent_THFTYPE_IiioI @ X29 @ X30 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ esk5_0 @ esk6_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
thf(c_0_32,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ esk7_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i,X2: $i,X5: $i,X6: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ( likes_THFTYPE_IiioI @ X5 @ X6 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_34,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ esk5_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_35,negated_conjecture,
! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_23]) ).
thf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:56:34 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.oVkq3zeE4T/E---3.1_1389547.p
% 0.24/0.29 % Version: 3.5.1-ho
% 0.24/0.29 % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.29 % Starting lpo1_def_fix with 300s (1) cores
% 0.24/0.29 % ehoh_best_sine_rwall with pid 1389562 completed with status 0
% 0.24/0.29 % Result found by ehoh_best_sine_rwall
% 0.24/0.29 % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.24/0.29 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.29 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % SubtermCWHack with pid 1389564 completed with status 0
% 0.24/0.29 % Result found by SubtermCWHack
% 0.24/0.29 % Preprocessing class: HSMSSMSSSSMNSSN.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.24/0.29 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.24/0.29 % Search class: HGHNF-FFMM32-SSSFFSBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % Preprocessing time : 0.002 s
% 0.24/0.29
% 0.24/0.29 % Proof found!
% 0.24/0.29 % SZS status Theorem
% 0.24/0.29 % SZS output start CNFRefutation
% See solution above
% 0.24/0.29 % Parsed axioms : 22
% 0.24/0.29 % Removed by relevancy pruning/SinE : 12
% 0.24/0.29 % Initial clauses : 53
% 0.24/0.29 % Removed in clause preprocessing : 27
% 0.24/0.29 % Initial clauses in saturation : 26
% 0.24/0.29 % Processed clauses : 34
% 0.24/0.29 % ...of these trivial : 6
% 0.24/0.29 % ...subsumed : 1
% 0.24/0.29 % ...remaining for further processing : 27
% 0.24/0.29 % Other redundant clauses eliminated : 0
% 0.24/0.29 % Clauses deleted for lack of memory : 0
% 0.24/0.29 % Backward-subsumed : 3
% 0.24/0.29 % Backward-rewritten : 7
% 0.24/0.29 % Generated clauses : 19
% 0.24/0.29 % ...of the previous two non-redundant : 16
% 0.24/0.29 % ...aggressively subsumed : 0
% 0.24/0.29 % Contextual simplify-reflections : 1
% 0.24/0.29 % Paramodulations : 12
% 0.24/0.29 % Factorizations : 0
% 0.24/0.29 % NegExts : 0
% 0.24/0.29 % Equation resolutions : 0
% 0.24/0.29 % Disequality decompositions : 0
% 0.24/0.29 % Total rewrite steps : 15
% 0.24/0.29 % ...of those cached : 8
% 0.24/0.29 % Propositional unsat checks : 0
% 0.24/0.29 % Propositional check models : 0
% 0.24/0.29 % Propositional check unsatisfiable : 0
% 0.24/0.29 % Propositional clauses : 0
% 0.24/0.29 % Propositional clauses after purity: 0
% 0.24/0.29 % Propositional unsat core size : 0
% 0.24/0.29 % Propositional preprocessing time : 0.000
% 0.24/0.29 % Propositional encoding time : 0.000
% 0.24/0.29 % Propositional solver time : 0.000
% 0.24/0.29 % Success case prop preproc time : 0.000
% 0.24/0.29 % Success case prop encoding time : 0.000
% 0.24/0.29 % Success case prop solver time : 0.000
% 0.24/0.29 % Current number of processed clauses : 10
% 0.24/0.29 % Positive orientable unit clauses : 5
% 0.24/0.29 % Positive unorientable unit clauses: 0
% 0.24/0.29 % Negative unit clauses : 1
% 0.24/0.29 % Non-unit-clauses : 4
% 0.24/0.29 % Current number of unprocessed clauses: 8
% 0.24/0.29 % ...number of literals in the above : 29
% 0.24/0.29 % Current number of archived formulas : 0
% 0.24/0.29 % Current number of archived clauses : 17
% 0.24/0.29 % Clause-clause subsumption calls (NU) : 32
% 0.24/0.29 % Rec. Clause-clause subsumption calls : 29
% 0.24/0.29 % Non-unit clause-clause subsumptions : 1
% 0.24/0.29 % Unit Clause-clause subsumption calls : 10
% 0.24/0.29 % Rewrite failures with RHS unbound : 0
% 0.24/0.29 % BW rewrite match attempts : 7
% 0.24/0.29 % BW rewrite match successes : 7
% 0.24/0.29 % Condensation attempts : 0
% 0.24/0.29 % Condensation successes : 0
% 0.24/0.29 % Termbank termtop insertions : 3064
% 0.24/0.29 % Search garbage collected termcells : 473
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.005 s
% 0.24/0.29 % System time : 0.004 s
% 0.24/0.29 % Total time : 0.009 s
% 0.24/0.29 % Maximum resident set size: 3644 pages
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.007 s
% 0.24/0.29 % System time : 0.008 s
% 0.24/0.29 % Total time : 0.015 s
% 0.24/0.29 % Maximum resident set size: 4864 pages
% 0.24/0.29 % E exiting
%------------------------------------------------------------------------------